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Finding the Third Proportional to 32,854 and 52,698

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Solution

The third proportional to 32,854 and 52,698 is: 84,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854 : 52,698 = 52,698 : x
  2. Step 2: Convert to fraction form
    32,854/52,698 = 52,698/x
  3. Step 3: Cross multiply
    32,854x = 52,698 × 52,698
  4. Step 4: Simplify right side
    32,854x = 2,777,079,204
  5. Step 5: Solve for x
    x = 2,777,079,204/32,854
  6. Step 6: Final answer
    x = 84,527.89

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.